The relative growth of information in two-dimensional partitions
type: Item
instance of: scholarly article
title: The relative growth of information in two-dimensional partitions
zbMATH Open document ID: 1107.28011
author: K. Dajani
author: Martijn de Vries
author: Aimee S. A. Johnson
published in: Real Analysis Exchange
publication date: 2006-11-13T00:00:00Z
review text: The paper generalizes the one-dimensional theorem of \textit{G. Lochs} [Abh. Math. Semin. Univ. Hamb. 27, 142--144 (1964; Zbl 0124.28003)] which compares two different number-theoretic expansions of a number to the two-dimensional setting. It is shown that the relative growth of information in the two-dimensional case depends on the entropy of the partitions (defining the expansions) and the geometry of their shapes.
reviewed by: Michael L. Blank
Mathematics Subject Classification ID: 28D15
Mathematics Subject Classification ID: 28D20
zbMATH DE Number: 5071500
zbMATH Keywords: Lochs' theorem
zbMATH Keywords: Shannon-McMillan-Breiman theorem
MaRDI profile type: Publication
full work available at URL: realanalexch.31.2.0397
OpenAlex ID: W1563492653
DOI: 10.14321/REALANALEXCH.31.2.0397
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description: scientific article; zbMATH DE number 5071500